Definition 3.5 [1]} A tensor \(\mathcal {A}= (a_{i_1 i_2 ... i_m}) \in T_{m,n} \)  is said to be a \(P(P_0)\) -tensor, if for each \(x\in \mathbb {R}^n \backslash \lbrace 0\rbrace \) , there exists an index \(i\in [n]\)  such that \(x_i \ne 0\)  and \(x_i (\mathcal {A}x^{m-1})_i > (\ge 0)\) .

